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Finding the Fourth Proportional to 410,367.40, 614,150.70 and 343,882.60

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Solution

The fourth proportional to 410,367.40, 614,150.70 and 343,882.60 is: 514,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,367.40 : 614,150.70 = 343,882.60 : x
  2. Step 2: Convert to fraction form
    410,367.40/614,150.70 = 343,882.60/x
  3. Step 3: Cross multiply
    410,367.40x = 614,150.70 × 343,882.60
  4. Step 4: Simplify right side
    410,367.40x = 211,195,739,507.82
  5. Step 5: Solve for x
    x = 211,195,739,507.82/410,367.40
  6. Step 6: Final answer
    x = 514,650.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.